Matrix<T> Class

public abstract class Matrix<T> : LinearOperator<T>, 
	IFormattable, IDisposable, ISummarizable, IEquatable<Matrix<T>>, 
	IDataFrame, IStructuralEquatable, IStructuralComparable

Public MustInherit Class Matrix(Of T)
	Inherits LinearOperator(Of T)
	Implements IFormattable, IDisposable, ISummarizable, IEquatable(Of Matrix(Of T)), 
	IDataFrame, IStructuralEquatable, IStructuralComparable

generic<typename T>
public ref class Matrix abstract : public LinearOperator<T>, 
	IFormattable, IDisposable, ISummarizable, IEquatable<Matrix<T>^>, 
	IDataFrame, IStructuralEquatable, IStructuralComparable

[<AbstractClassAttribute>]
type Matrix<'T> = 
    class
        inherit LinearOperator<'T>
        interface IFormattable
        interface IDisposable
        interface ISummarizable
        interface IEquatable<Matrix<'T>>
        interface IDataFrame
        interface IStructuralEquatable
        interface IStructuralComparable
    end

Inheritance

Object  →  LinearOperator<T>  →  Matrix<T>

Derived

Extreme.Mathematics.Distributed.DistributedMatrix<T>

Extreme.Mathematics.LinearAlgebra.BandMatrix<T>

Extreme.Mathematics.LinearAlgebra.ComposedComplexMatrix<T>

Extreme.Mathematics.LinearAlgebra.ConstantMatrix<T>

Extreme.Mathematics.LinearAlgebra.DenseMatrix<T>

Extreme.Mathematics.LinearAlgebra.DiagonalMatrix<T>

Extreme.Mathematics.LinearAlgebra.HermitianMatrix<T>

Extreme.Mathematics.LinearAlgebra.MatrixView<T>

Extreme.Mathematics.LinearAlgebra.PermutationMatrix

Extreme.Mathematics.LinearAlgebra.SparseMatrix<T>

Extreme.Mathematics.LinearAlgebra.SymmetricMatrix<T>

Extreme.Mathematics.LinearAlgebra.TriangularMatrix<T>

Extreme.Mathematics.SignalProcessing.ComplexConjugateSignalMatrix<T>

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Implements

IDataFrame, ISummarizable, IStructuralComparable, IStructuralEquatable, IDisposable, IEquatable<Matrix<T>>, IFormattable

Type Parameters

T

Matrix<T> is the abstract base class for representing matrices, two-dimensional arrays of numbers. An application can perform operations on matrices using instances of the Matrix<T> class, while descendant classes implement specialized algorithms for specific types of matrices.

The matrix class provides methods and properties for all the common operations on matrices, including arithmetic operations, calculating norms and solving systems of simultaneous linear equations. Various methods allow you to access individual elements as well as rows and columns and submatrices.

Since Matrix<T> is an abstract base class and cannot be instantiated directly. Instead, use one of its derived classes. These are:

Note that the specialized classes exploit certain structural properties to perform many calculations more quickly than the general algorithms implemented by Matrix<T>.

Matrix<T> provides an indexer property. For convenient access to the rows or columns of a matrix or parts thereof, use the [o:GetRow] and [o:GetColumn] methods.

Overloaded versions of the major arithmetic operators are provided for languages that support them. For languages that don't support operator overloading, equivalent static methods are supplied.

Many matrix decompositions exist, serving a variety of purposes. Each of them has its own class. In this release the LU decomposition and the QR decomposition are supported. For positive-definite symmetric matrices, the CholeskyDecomposition<T> is available.

Reference